Securities which obligate the borrower/issuer to make payments on a fixed schedule. Fixed income securities include sovereign, corporate and municipal bonds, corporate loans, and securitized lending (e.g., ABS). "Fixed" refers only to the schedule of obligatory payments, not the amount, and may ...

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123 views

Who determine Sport rate curve (Yield Curve)

My study was in a Mathematical modelling, we studied much about theory, equations, how to resolve equation, how to implement, but we don't understand well where these equations come from. My ...
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2answers
381 views

Valuation of a Sinking Bond Fund

What would the schedule of payments be for a bond with a sinking fund? I know how to price a bond but how does the sinking fund play into it? ...
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3answers
2k views

How is PnL calculated

In Fixed Income, I know that bonds PnL are evaluated depending on where the price lies on price/yield curve at the end of the day, compared to where it started from at beginning of the day. The ...
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2answers
241 views

Market overview trading platforms (with OTC)

I am searching for a trading platform for a client. It must include control of trading limits (per user and with regard to the clients portfolio), connection to Bloomberg data, ability to value ...
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1answer
124 views

Fixed Income free research available online

As from the title, I would like to know where it is possible to find free research focused on fixed income markets' themes and topics, such as interest rates, credit risk related fundamentals, new ...
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2answers
72 views

Is “Issuer and Holder with same strike” meaningless?

I've seen a callable putable bond whose first exercise date is an exercise date both for the holder and the issuer. Moreover both strikes have the same value: 100. I wonder what does it mean. I ...
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1answer
369 views

Automatic fixing of missing floating rate in QuantLib's addFixing()

Due to the periodic fixing of floating rate bonds's coupon rates, in order to calculate the bond clean price one must tell the pricing engine to account for previous LIBOR rate fixing. If I am right ...
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3answers
4k views

How to hedge the fixed leg of a swap contract?

I happened to get this question for Fixed Income Swap contract. (let's assume it's it's not cross currency). If the fixed leg is paying 10% interest rate in this contract, but in the market the ...
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1answer
59 views

Does DV01 grow proportionally to portfolio?

I'm having trouble understanding DV01 convention. From what I understand it stands for "Dollar value of 1 basis point." For instance, if I have a bond with DV01 = 0.05, does a portfolio composed of ...
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1answer
207 views

“Friendly” papers about maximum smoothness yield curve modelling

I'm currently looking to implement some version of the yield curve modeling techniques in the maximum smoothness framework. The papers I have found so far explains the theory pretty well, but I find ...
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1answer
221 views

Need to match my bond price calculation to that of Bloomberg, currently failing hard

I have a fixed-coupon bond with the following characteristics: ...
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1answer
60 views

Why might a manager consider using an interest-rate in which the notional principal amount declines over time?

Say swap would be used to convert the payments of its portfolio of fixed-rate residential mortgage loans into a floating payment. Why might a manager consider using an interest-rate in which the ...
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1answer
433 views

T-note returns from T-note yields … derivation of Damodaran's formula

Damodaran's historical data on 10-year T-note returns (found here) uses the following formula to calculate the 1-period total return on a T-note ($R_1$) given the 10-year constant maturity ...
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2answers
57 views

Numerical delta of Bond Options

I'm trying to calculate the delta for bond Call options. I'm using the vasicek model which gives the following solution for a Zero-coupon bond call option: $Z = N P(t,S) \Phi(d_1) - K P(t,T) ...
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2answers
29 views

Cheapness indicator for Convertibles Bonds

What indicator (or combination of those) could be used to roughly estimate the cheapness of a convertible bonds ? Like the price/earning ratio for equities. Thanks, Max.
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2answers
165 views

Real-time market data from the exchanges: what should we be aware of?

We receive daily end-of-day data from a data vendor (i.e. not direct from an exchange) and are comfortable with this. We are now wanting to receive live data, and after a few enquiries we are feeling ...
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2answers
94 views

Factor immunization for bond portfolio

I'm trying to figure out some kind of immunization using a factor model I developed for interest rates. Here is the basic problem. Let's say that we have a bond portfolio containing $N$ bonds with ...
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1answer
167 views

How to calibrate the Hull-White model using cap prices?

I'm given cap prices and swap rates, and i'm trying to calibrate the Hull-White model to them. I then want to use the model in order to price a swaption. I know that the model can be calibrated from ...
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1answer
2k views

What's the intuition behind DTS(duration times spread) in fixed income?

I am having some difficulty grasping the concept of using DTS to measure credit risk. In the equity world, one typical measure of risk is beta, which is quite well-defined as the exposure to a common ...
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1answer
131 views

Bond Spread Drivers

I have some work to do on the drivers of government bond spreads - ie. across terms (not across governments) of the yield curve, say 5yr and 20yr bond spreads from the same government issuer - and am ...
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1answer
459 views

Interpolating spot rates given intermittent coupon-bond prices.

I'm trying to bootstrap spot rates given coupon-paying bond data. To simplify my problem, assume we are working with only 3 given data, the price/coupon rate on semi-annual bonds maturing in 0.5, 1, ...
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1answer
300 views

Bond futures - calendar spread pricing

I am looking on literature and models on pricing a bond futures' calendar spread. assuming the basket of deliverable bonds is the same and the ctd is the same, what are the factores determining the ...
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1answer
62 views

Annual Percentage Rate and Yield

I found references relative to US where the Nominal Annual Percentage Rate or simply APR is defined as the simple interest rate (i.e. proportional to time and without compounding). Instead the ...
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0answers
48 views

CFA (Level 1) schedule after school and working a 9-5 job [closed]

I am graduating with a BS in math and obviously love math but everything changed when a buddy of mine invited me to an investment society in our school and I love every single experience. The part I ...
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0answers
39 views

Convertible bonds market data

My question is twofold. First, what are the key informations used to describe a convertible bond market ? I'm thinking about market size, conversion rate, appropriate index, ... Second, where to ...
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1answer
140 views

Practical implementation of Libor Market Model

I am trying to implement a project about the BGM model, suggested in the book "The Concepts and Practice of mathematical finance" by Mark Joshi. My question is related to the forward volatility ...
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1answer
108 views

Do you have a validation set for Libor Market Model implementation?

I'm trying to calibrate a Libor Market Model (LMM) in Matlab with my user-defined function, not their package. I already fitted the market volatilities using SABR but failed to simulate the ...
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1answer
127 views

UST Yield Curve Forecasting - Bond Structure Testing

I have a project in mind that I am working on, but have little idea where to start. I am a relative newcomer to python (about 1 years exp.) and limited knowledge of quant finance. What I would like ...
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1answer
172 views

Key Rate Duration for MBSs greater than Key Rate Tenor

Key Rate Durations (KRD) are essentially some fixed income instrument's price sensitivity to a non-parallel shift in interest rates (i.e., a shift at the "Key" Rate). For example, a 10-year bond's ...
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1answer
97 views

If we modify duration, should we modify bond price? Options Futures and Other Derivatives

In Example 4.5 of Section 4.8 on Duration of Options, Futures and Other Derivatives (p.92), a bond's price and duration are computed assuming continuous compounding where the bond yield is y = 12%. ...
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0answers
103 views

What is the algorithm for the Fama-Bliss instrument selection?

Fama-Bliss discount bonds are defined through a straight forward calculation (Famma, Bliss 1987). For the purposes of a project I need to derive forward rates, yields &c. for periods not included ...
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0answers
155 views

Market Standard Pricing Models for Fixed Income Securities (Vanilla)

To clarify my heading, I have been searching for a material that consolidates all standard Fixed Income Security Pricing. E.g. ...
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0answers
323 views

Convexity adjustment

I have a problem with the underlying assumption in the future/forward convexity adjustment. If I understand correctly, the assumption is, if I am long ED, I earn money when rates go down and invest ...
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0answers
40 views

How does a covered bond characteristics compare to a mortgage security for credit enhancement?

I need help with understanding how does a covered bond characteristics compare to a mortgage security for credit enhancement?
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3answers
971 views

How to properly interpret accrued interest of bonds

Ever since I work in finance I was wondering what accrued interest (AI) are good for (see the wikipedia article for a short introduction). I think I have a clear picture in mind now and the usual ...
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1answer
177 views

Price difference between bond cash and futures

I used to trade German and US govt. bond futures and I am now having trouble understanding the price difference of these markets against the cash market. For example, the 10 year german government ...
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1answer
206 views

Principal Component Analysis and Yield Curves

I've been tasked with researching trading strategies relating PCA to trading fixed income futures instruments. Apparently PCA is frequently used in this area. I'm just looking for some references for ...
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2answers
395 views

Par Yield Curves vs Zero Curves

Does it make sense to look at par yield curve for German bonds in the current environment? Because low rates mean that a lot of bonds are trading above much above par (even around 150!). I would ...
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2answers
662 views

30360 Daycount Count Convention to find NPV for Bonds

Using a 30/360 day count convention, how can you value the NPV of these cash flows and the discount factor? I know how to discount cash flows but how does it differ using a 30/360 approach? What is ...
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1answer
280 views

Where to find introductory material on leveraged loans?

What are some good, preferably free, introductions to leveraged loans, also known as syndicated loans or bank loans? The introduction should describe the basic mechanics and very importantly provide ...
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1answer
54 views

Is it possible for two securities to have the same first 8 characters of a cusip, but differ in the check sum?

CUSIP is a 9 character long identifier. The last digit is a check sum checking the first 8 previous characters. This seems to me that it is not possible for two securities to have the same 8 ...
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1answer
90 views

Total return index for interest rates (EURIBOR 3M)

I would like to calculate a daily total return index for the EURIBOR 3M. • Should I freeze at the beginning of each qurter die rate? (With this methology the developing of the index depends on the ...
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2answers
154 views

In bond pricing, is negative convexity better than positive convexity?

Say that I have two bonds and one of them has positive convexity and the other negative. Which one is better (assuming that you only care about convexity)? I understand that high convexity is ...
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1answer
536 views

Bloomberg Zero Coupon Rates

As some of your may know from my other posts, I am working on a Dynamic Nelson Siegel (DNS) based relative value trading model. On simulated data (which satisfies all the assumptions) of the DNS it ...
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1answer
83 views

OIS discounting pre and post crises

I have a Dynamic Nelson Siegel (DNS) based rv model. I want to know if I can use pre and post-crises curves interchangeably in my calibration and out of sample testing. I.e. those without OIS ...
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1answer
243 views

How to price zero coupon bonds with short term rates model?

I want to find the price of Zero coupon bond given a short rate model. I think about Merton, Vasiceck, CIR, Ho & Lee models. 1) Given a simulation of $r_t$ how can I calculate $ P(t,T) = ...
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1answer
839 views

Deriving the par-yield curve

Given for example 6 bond prices and their respective 6 cashflows over a time period of 6 years, I have managed to derive the zero-coupon yield curve using the bootstrap method. However, it got lost ...
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2answers
342 views

Matlab; How to specify Coupon frequency for Interest Rate Swap

I'm trying to price an interest rate swap and would like to change the default coupon payment frequency from 1 a year to 2 or 4 a year. I'm using ...
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1answer
3k views

Calculating pre-tax cost of debt

This is a simple problem but I'm not sure about one aspect of it. A company has 15 year bonds outstanding, with a 5% annual coupon, a face value of \$1000, and a current market value of \$1100. ...
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1answer
32 views

How to price this zero-coupon bond using a replicating portfolio? [on hold]

I have been asked to price a new zero-coupon bond, which matures in 5 years with a final payout of £40m, initially raising funds of at least £30m (£30m for the clients + commission for me). I also ...